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Cooperation under interval uncertainty
Authors:S Zeynep Alparslan-Gök  Silvia Miquel  Stef H Tijs
Institution:(1) Institute of Applied Mathematics, Middle East Technical University, 06531 Ankara, Turkey;(2) Faculty of Arts and Sciences, Department of Mathematics, Suleyman Demirel University, 32 260 Isparta, Turkey;(3) Department of Mathematics, University of Lleida, C/Jaume II 69, 25001 Lleida, Spain;(4) Center and Department of Econometrics and OR, Tilburg University, P. O. Box 90153, 5000LE Tilburg, The Netherlands
Abstract:In this paper, the classical theory of two-person cooperative games is extended to two-person cooperative games with interval uncertainty. The core, balancedness, superadditivity and related topics are studied. Solutions called ψ α-values are introduced and characterizations are given.
Keywords:Cooperative game theory  Interval uncertainty  Core  Value  Balancedness
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